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This article introduces the Clarke transform and Clarke coordinates, which present a solution to the disengagement of an arbitrary number of coupled displacement actuation of continuum and soft robots. The Clarke transform utilizes the…

Robotics · Computer Science 2024-09-26 Reinhard Grassmann , Anastasiia Senyk , Jessica Burgner-Kahrs

In this paper, we propose a dynamic model and control framework for tendon-driven continuum robots (TDCRs) with multiple segments and an arbitrary number of tendons per segment. Our approach leverages the Clarke transform, the…

Robotics · Computer Science 2025-10-08 Christian Muhmann , Reinhard M. Grassmann , Max Bartholdt , Jessica Burgner-Kahrs

In this letter, we demonstrate that previously proposed improved state parameterizations for soft and continuum robots are specific cases of Clarke coordinates. By explicitly deriving these improved parameterizations from a generalized…

Robotics · Computer Science 2025-03-18 Reinhard M. Grassmann , Jessica Burgner-Kahrs

We present a framework based on Clarke coordinates for spatial displacement-actuated continuum robots with an arbitrary number of joints. This framework consists of three modular components, i.e., a planner, trajectory generator, and…

Robotics · Computer Science 2025-02-10 Reinhard M. Grassmann , Jessica Burgner-Kahrs

In this paper, we consider an arbitrary number of joints and their arbitrary joint locations along the center line of a displacement-actuated continuum robot. To achieve this, we revisit the derivation of the Clarke transform leading to a…

Robotics · Computer Science 2025-02-03 Reinhard M. Grassmann , Jessica Burgner-Kahrs

The displacement-actuated continuum robot as an abstraction has been shown as a key abstraction to significantly simplify and improve approaches due to its relation to the Clarke transform. To highlight further potentials, we revisit and…

Robotics · Computer Science 2025-03-24 Reinhard M. Grassmann , Jessica Burgner-Kahrs

This note briefly introduces the computed torque control method for trajectory tracking. The method is applicable to fully actuated robots, i.e, those whose inverse dynamics can be solved for any feasible acceleration. This includes many…

Robotics · Computer Science 2023-04-27 Lluís Ros

Snake robots have been studied for decades with the aim of achieving biological snakes' fluent locomotion. Yet, as of today, their locomotion remains far from that of the biological snakes. Our recent study suggested that snake locomotion…

Robotics · Computer Science 2024-07-24 Seongil Kwon , Serdar Incekara , Gangil Kwon , Junhyoung Ha

With a slender redundant body, the tendon-driven robot (TDR) has a large workspace and great maneuverability while working in complex environments. TDR comprises multiple independently controlled robot segments, each with a set of driving…

Robotics · Computer Science 2025-07-24 Botao Lin , Shuang Song , Jiaole Wang

To enlarge the translational workspace of cable-driven robots, one common approach is to increase the number of cables. However, this introduces two challenges: (1) cable interference significantly reduces the rotational workspace, and (2)…

Robotics · Computer Science 2025-11-04 Nan Zhang

This paper presents a study on the backstepping control of tendon-driven continuum robots for large deflections using the Cosserat rod model. Continuum robots are known for their flexibility and adaptability, making them suitable for…

Robotics · Computer Science 2025-02-21 Rana Danesh , Farrokh Janabi-Sharifi

Cable-driven continuum robots (CDCRs) are widely used in surgical and inspection tasks that require dexterous manipulation in confined spaces. Existing model-based estimation methods either assume constant curvature or rely on…

Robotics · Computer Science 2026-03-31 Guoqing Zhang , Zihan Chen , Long Wang

A hybrid continuum robot design is introduced that combines a proximal tendon-actuated section with a distal telescoping section comprised of permanent-magnet spheres actuated using an external magnet. While, individually, each section can…

Tendon-driven robots, a type of continuum robot, have the potential to reduce the invasiveness of surgery by enabling access to difficult-to-reach anatomical targets. In the future, the automation of surgical tasks for these robots may help…

Robotics · Computer Science 2021-10-18 Yixuan Huang , Michael Bentley , Tucker Hermans , Alan Kuntz

Suitable representations of dynamical systems can simplify their analysis and control. On this line of thought, this paper aims to answer the following question: Can a transformation of the generalized coordinates under which the actuators…

Continuum arms, such as trunk and tentacle robots, lie between the two extremities of rigid and soft robots and promise to capture the best of both worlds in terms of manipulability, dexterity, and compliance. This paper proposes a new…

Robotics · Computer Science 2019-07-16 Ali A. Nazari , Diego Castro , Isuru S. Godage

Tendon-driven Continuum Robots (TDCRs) are promising candidates for applications in confined spaces due to their unique shape, compliance, and miniaturization capability. Non-parallel tendon routing for TDCRs have shown definite advantages…

Robotics · Computer Science 2024-09-23 Chengnan Shentu , Jessica Burgner-Kahrs

Our goal is to develop a principled and general algorithmic framework for task-driven estimation and control for robotic systems. State-of-the-art approaches for controlling robotic systems typically rely heavily on accurately estimating…

Optimization and Control · Mathematics 2019-05-08 Vincent Pacelli , Anirudha Majumdar

Torque control algorithms which consider robot dynamics and contact constraints are important for creating dynamic behaviors for humanoids. As computational power increases, algorithms tend to also increase in complexity. However, it is not…

Robotics · Computer Science 2017-01-31 Sean Mason , Nicholas Rotella , Stefan Schaal , Ludovic Righetti

This paper considers a combination of actuation tendons and measurement strings to achieve accurate shape sensing and direct kinematics of continuum robots. Assuming general string routing, a methodical Lie group formulation for the shape…

Robotics · Computer Science 2022-12-26 Andrew L. Orekhov , Elan Z. Ahronovich , Nabil Simaan
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